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Finding the Third Proportional to 291,220 and 438,882

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Solution

The third proportional to 291,220 and 438,882 is: 661,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,220 : 438,882 = 438,882 : x
  2. Step 2: Convert to fraction form
    291,220/438,882 = 438,882/x
  3. Step 3: Cross multiply
    291,220x = 438,882 × 438,882
  4. Step 4: Simplify right side
    291,220x = 192,617,409,924
  5. Step 5: Solve for x
    x = 192,617,409,924/291,220
  6. Step 6: Final answer
    x = 661,415.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.